What do you mean by Bay’s theorem?

  What do you mean by Bay’s theorem?

Bay’s theorem

Bayes' theorem is a mathematical equation used in probability and statistics to calculate conditional probability. In other words, it is used to calculate the probability of an event based on its association with another event. The theorem is also known as Bayes' law or Bayes' rule.

There are several different ways to write the formula for Bayes' theorem. The most common form is:

P(A ∣ B) = P(B ∣ A)P(A) / P(B)

where A and B are two events and P(B) ≠ 0

P(A ∣ B) is the conditional probability of event A occurring given that B is true.

P(B ∣ A) is the conditional probability of event B occurring given that A is true.

P(A) and P(B) are the probabilities of A and B occurring independently of one another (the marginal probability).

Bayes's theorem is stated mathematically as the following equation: